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The divisibility for 625=5^4 :
The remainder obtained when remainder on division of a number by 625 is same as remainder  obtained when last 4 digits of the number are divided by  625.

so 8888...100 times..88  leaves same remainder as 8888 divided by 625 is 138.

So remainder =138
1 2 1
but before if a carry on is left then?
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